新的切换四涡卷超混沌系统及其电路实现  

A new switched four-scroll hyperchaotic system and its circuit implementation

作　　者：刘扬正[1] 林长圣[1] 王忠林[2] 

机构地区：[1]南京工程学院非线性物理研究所,南京211167 [2]滨州学院物理与电子科学系,滨州256603

出　　处：《物理学报》2010年第12期8407-8413,共7页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:90405011);江苏省高等学校自然科学基金(批准号:07KJD120081);山东省科技发展计划(批准号:2009GG10001030);南京工程学院自然科学基金(批准号:KXJ07068)资助的课题~~

摘　　要：构建了新的包含2个子系统的切换四涡卷超混沌系统,2个子系统之间既相互关联又相互切换.分析了2个子系统的分岔图、平衡点的稳定性、Lyapunov指数以及动力学行为的演化过程.设计了实现切换四涡卷超混沌系统的电路,系统以时间依赖和状态依赖两种切换律进行任意切换和自主切换,仅用一个电路就能实现2个子系统的切换功能.A new switched four-scroll hyperchaotic system with two subsystems which are interconnected and can be switched to each other,is generated.The two subsystems are analyzed in detail by presenting the bifurcation diagram,the feature of equilibrium,the phase portraits of chaotic attractor,the Lyapunov exponent and the evolution course of the dynamical action.A practical circuit is designed to conveniently realize two subsystems for the hyperchaotic systems each with only smooth quadratic nonlinearity.Based on time-dependent switching law and state-dependent switching law,the two subsystems can be switched from one to another either randomly or independently,just by using this special circuit.

关 键 词：切换 四涡卷混沌吸引子 超混沌系统 切换律 

分 类 号：O415.5[理学—理论物理]